Question

You are conducting a test of independence for the claim that there is an association between the row variable and the column variable.

	X	Y	Z
A	30	34	21
B	40	35	21

What is the chi-square test-statistic for this data?

Answer 1

Applying chi square test of independence:

Expected	Ei=row total*column total/grand total	X	Y	Z	Total
	A	32.8729	32.4033	19.7238	85.00
	B	37.1271	36.5967	22.2762	96.00
	total	70.00	69.00	42.00	181.00
chi square    χ2	=(Oi-Ei)2/Ei	X	Y	Z	Total
	A	0.251	0.079	0.083	0.4123
	B	0.222	0.070	0.073	0.3651
	total	0.4734	0.1483	0.1557	0.777
Chi square test statistic X2 =		0.7774